In a large bowl combine sour cream, mayo, artichokes, and crab meat and stir to combine. Add parmesan cheese (reserve 1-2 tablespoons), lemon juice, garlic, parsley, basil and salt and pepper to taste and mix well.
Spread mixture in a large baking dish. Sprinkle reserved parmesan cheese over dip. Bake 15-20 minutes until bubbly and top begins to brown. Serve warm with crackers or sliced baguettes.
Store leftovers covered tightly, in fridge. Reheat in microwave.